829edo: Difference between revisions

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== Theory ==

829edo is [[consistent]] to the [[11-odd-limit]]. ~~The equal temperament~~ [[~~tempering out|~~tempers out]] [[4375/4374]], {{monzo| -25 6 -3 8 }}, and {{monzo| 16 -9 -8 6 }} in the 7-limit; [[41503/41472]], [[200704/200475]], and 3750705/3748096 in the 11-limit. It [[support]]s [[squarschmidt]], [[senior]] and [[acrokleismic]].

829edo is [[consistent]] to the [[11-odd-limit]]. It [[tempers out]] [[4375/4374]], {{monzo| -25 6 -3 8 }}, and {{monzo| 16 -9 -8 6 }} in the 7-limit; [[41503/41472]], [[200704/200475]], and 3750705/3748096 in the 11-limit. It [[support]]s [[squarschmidt]], [[senior]] and [[acrokleismic]].

=== Prime harmonics ===

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| {{monzo| 1314 -829 }}

| {{mapping| 829 1314 }}

| ~~−0~~.0302

| –0.0302

| 0.0302

| 2.09

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| {{monzo| 39 -29 3 }}, {{monzo| 61 4 -29 }}

| {{mapping| 829 1314 1925 }}

| ~~−0~~.0454

| −0.0454

| 0.0327

| 2.26

Line 47:

| 4375/4374, 41503/41472, 200704/200475, 3750705/3748096

| {{mapping| 829 1314 1925 2327 2868 }}

| ~~−0~~.0076

| −0.0076

| 0.0844

| 5.83

Line 54:

| 4096/4095, 4375/4374, 4459/4455, 47432/47385, 59535/59488

| {{mapping| 829 1314 1925 2327 2868 3068 }}

| ~~−0~~.0282

| −0.0282

| 0.0898

| 6.20

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== Music ==

; [[Francium]]

* "confluencelessness" from ''albumwithoutspaces'' (2024) ~~–~~ [https://open.spotify.com/track/7luOwK0nu7Cq9hmJy6W7L9 Spotify] | [https://francium223.bandcamp.com/track/confluencelessness Bandcamp] | [https://www.youtube.com/watch?v=eKDAs6aHF1s YouTube] ~~–~~ acrokleismic[19] in 829edo tuning

* "confluencelessness" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/7luOwK0nu7Cq9hmJy6W7L9 Spotify] | [https://francium223.bandcamp.com/track/confluencelessness Bandcamp] | [https://www.youtube.com/watch?v=eKDAs6aHF1s YouTube] – acrokleismic[19] in 829edo tuning

@@ Line 3: / Line 3: @@
 == Theory ==
-edo is [[consistent]] to the [[11-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[4375/4374]], {{monzo| -25 6 -3 8 }}, and {{monzo| 16 -9 -8 6 }} in the 7-limit; [[41503/41472]], [[200704/200475]], and 3750705/3748096 in the 11-limit. It [[support]]s [[squarschmidt]], [[senior]] and [[acrokleismic]].
+edo is [[consistent]] to the [[11-odd-limit]]. It [[tempers out]] [[4375/4374]], {{monzo| -25 6 -3 8 }}, and {{monzo| 16 -9 -8 6 }} in the 7-limit; [[41503/41472]], [[200704/200475]], and 3750705/3748096 in the 11-limit. It [[support]]s [[squarschmidt]], [[senior]] and [[acrokleismic]].
 === Prime harmonics ===
@@ Line 26: / Line 26: @@
 | {{monzo| 1314 -829 }}
 | {{mapping| 829 1314 }}
-| &minus;0.0302
+| –0.0302
 | 0.0302
 | 2.09
@@ Line 33: / Line 33: @@
 | {{monzo| 39 -29 3 }}, {{monzo| 61 4 -29 }}
 | {{mapping| 829 1314 1925 }}
-| &minus;0.0454
+| −0.0454
 | 0.0327
 | 2.26
@@ Line 47: / Line 47: @@
 | 4375/4374, 41503/41472, 200704/200475, 3750705/3748096
 | {{mapping| 829 1314 1925 2327 2868 }}
-| &minus;0.0076
+| −0.0076
 | 0.0844
 | 5.83
@@ Line 54: / Line 54: @@
 | 4096/4095, 4375/4374, 4459/4455, 47432/47385, 59535/59488
 | {{mapping| 829 1314 1925 2327 2868 3068 }}
-| &minus;0.0282
+| −0.0282
 | 0.0898
 | 6.20
@@ Line 97: / Line 97: @@
 == Music ==
 ; [[Francium]]
-* "confluencelessness" from ''albumwithoutspaces'' (2024) &ndash; [https://open.spotify.com/track/7luOwK0nu7Cq9hmJy6W7L9 Spotify] | [https://francium223.bandcamp.com/track/confluencelessness Bandcamp] | [https://www.youtube.com/watch?v=eKDAs6aHF1s YouTube] &ndash; acrokleismic[19] in 829edo tuning
+* "confluencelessness" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/7luOwK0nu7Cq9hmJy6W7L9 Spotify] | [https://francium223.bandcamp.com/track/confluencelessness Bandcamp] | [https://www.youtube.com/watch?v=eKDAs6aHF1s YouTube] – acrokleismic[19] in 829edo tuning